Argentinian striker Leonardo Ulloa hit the only goal of the game midway through the second half to secure all three points.
Brighton have conceded 25 league goals so far this season, with only QPR and Burnley letting in fewer in the Championship, and Garcia wants his men to take more of the chances they create at the other end to improve on a modest tally of 32 goals scored.
The Spaniard said: "We've won the last four home matches by one goal to nil and although it's a good habit we need to be more clinical in front of goal.
"We deserved to win. We created the better chances and it was not easy against one of the league's better quality opposition.
"Leo Ulloa took his goal well and it was a classy finish; everyone knows what he can do. He's a real threat in the box and his goal in our win against Doncaster last Saturday was very important for his confidence.
"We are building a remarkable defensive record and it was pleasing that Ross McCormack, the leading scorer in the Championship with 22 goals, was kept very quiet. All our defenders played really well.
"We are one point off the play-offs but I never think of two weeks ahead. Our only focus is on our next game at home to Hull in the fifth round of the FA Cup."
- Sports & Recreation
- Leonardo Ulloa